氯碱工业盐泥综合利用的模糊优化模型及应用

A Fuzzy Optimization Method and Its Application to Comprehensive Utilization of Salt Mud in Chlor-Alkali Industry

在氯碱工业生产过程中,处理副产品盐泥的最理想办法是将盐泥综合利用,生产盐泥的下游产品。应用模糊理论,建立了盐泥下游产品选择的基于可信性测度的模糊机会约束目标规划模型,并采用两种方法对模型进行求解。当模糊变量是三角模糊数时,将模糊模型转化为确定意义下的清晰等价模型进行求解;在模型推导的过程中,提出了一个引理和一个定理,并给出了其详细的证明过程。对于那些无法转化为清晰等价形式的复杂情况,设计了一种基于模糊模拟的遗传算法,并给出了详细的模糊模拟和遗传算法的步骤。最后通过实例分析证明该建模思想和算法的可行性和有效性。

In the chlor-alkali chemical manufacturing process, a kind of by-product called salt mud is pro- duced. The best way to deal with such a by-product is to develop its downstream products. The question is what downstream products should be produced such that the benefit is maximized. Based on credibility measure, this problem is formulated as a fuzzy chance-constrained goal programming problem. When the fuzzy variables are triangular fuzzy numbers, in some cases, the fuzzy chance-constrained goal program- ming problem is shown to be equivalent to a simplified deterministic problem. Consequently, it can be effi- ciently solved by existing methods. For the cases that such an equivalence cannot be established, a genetic algorithm based on fuzzy simulation is presented. A numerical example is presented to illustrate the appli- cation and effectiveness of the proposed method.